Hamiltonian Formalism for Systems Including Grassmann Numbers and Canonical Quantization by Feynman Path-Integral with Constraints

1 February 1980

journal article
Published by Oxford University Press (OUP) in Progress of Theoretical Physics

Vol. 63 (2) , 599-615
https://doi.org/10.1143/ptp.63.599

Abstract

Hamiltonian formalism for systems with both c-numbers and Grassmann numbers developed by Casalbuoni is re-investigated to be pointed out that the invariance properties of the canonical transformation work also in cases of general potential. Following the quantization procedures of Dirac and Faddeev, a form of Feynman path-integral with constraints for boson-fermion systems is presented.

Keywords

HAMILTONIAN FORMALISM
PATH INTEGRAL
INCLUDING GRASSMANN
GRASSMANN NUMBERS
FEYNMAN PATH
CANONICAL QUANTIZATION

This publication has 1 reference indexed in Scilit:

Generalized Hamiltonian Dynamics
Canadian Journal of Mathematics, 1950